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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/590| Dendriform algebras and Rota-baxter operators revisited in several directions | |
| Raul Felipe | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Algebras Dendriform Algebras de Leibniz | |
| The main purpose of this article is to move the study of dendriform algebras and Rota-Baxter operators to a nonassociative setting beyond the Lie algebras. We show how to associate structures of dendriform type to alternative and exible algebras and characterize the Rota-Baxter op- erators corresponding to them, in order to extend some results that have appeared in the literature for the associative case. These objects are stud- ied in some detail. Also, we show that the usual version of Rota-Baxter operators acts on Leibniz algebras in the same form that they act on Lie algebras and in particular can be used into Leibniz-admissible algebras. As a consequence we arrive to the notion of admissible dendriform al- gebra. Additionally, we propose the concept of generalized dendriform algebra and describe a connection of it with the left-symmetric dialgebras recently introduced by the author. | |
| Centro de Investigación en Matemáticas AC | |
| 29-07-2013 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| OTRAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Matemáticas |
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